Equivariant Sheaves on Flag Varieties

Details Equivariant Sheaves on Flag Varieties Equivariant Sheaves on Flag Varieties

2008-09-27

arxiv.org/abs/0809.4785v1

Mathematics

Representation Theory

Scientific paper

We show that the Borel-equivariant derived category of sheaves on the flag
variety of a complex reductive group is equivalent to the perfect derived
category of dg modules over the extension algebra of the direct sum of the
simple equivariant perverse sheaves. This proves a conjecture of Soergel and
Lunts in the case of flag varieties.

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